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Finding the Fourth Proportional to 7,857.18, 10,786.02 and 7,783.32

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Solution

The fourth proportional to 7,857.18, 10,786.02 and 7,783.32 is: 10,684.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.18 : 10,786.02 = 7,783.32 : x
  2. Step 2: Convert to fraction form
    7,857.18/10,786.02 = 7,783.32/x
  3. Step 3: Cross multiply
    7,857.18x = 10,786.02 × 7,783.32
  4. Step 4: Simplify right side
    7,857.18x = 83,951,045.19
  5. Step 5: Solve for x
    x = 83,951,045.19/7,857.18
  6. Step 6: Final answer
    x = 10,684.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.